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you move down 4 units. you end at (0, -4). where did you start?

Question

you move down 4 units. you end at (0, -4). where did you start?

Explanation:

Step1: Understand vertical movement on coordinate - plane

Moving down on the coordinate - plane means subtracting from the y - coordinate. Let the starting point be $(x,y)$ and the ending point be $(x_{end},y_{end})=(0, - 4)$. The change in the y - coordinate $\Delta y=-4$ (a downward movement of 4 units).

Step2: Set up the equation for y - coordinate change

We know that $y_{end}=y+\Delta y$. Substituting the values, we have $-4 = y-4$. Solving for $y$ gives $y = 0$. The x - coordinate does not change during a vertical movement, so $x = 0$.

Answer:

$(0,0)$